中文摘要：

文中提出了均匀棒纯纵向运动方程的全离散有限元格式，得到了有限元逼近的最优阶L^2和H^1及超收敛H^1误差估计．

英文摘要：

In this paper,we present a fully discrete scheme for the purely longtudinal motion equation of a homogeneous bar. we give the error analysis of the solution of the finite scheme and obtain optimal order error estimates in L2 and H1, superconvergence error estimates in H1.